Not really.
Yes, really.

If that were the case, then you would expect when Reps control either Congress or the WH or both, that budgets would be better.

Which has nothing to do with that particular Congress.

Reps blow up the deficit and/or national debt when they have the reins.

And democrats are fiscally responsible? Uhhh...no.
Year Deficit +2 debt %GDP Prez
2000 ($236) $18 -2.3% Clinton
2001 ($128) $133 -1.2% Clinton
2002 $158 $421 1.4% Bush
2003 $378 $555 3.3% Bush
2004 $413 $596 3.4% Bush
2005 $318 $554 2.4% Bush
2006 $248 $574 1.8% Bush
2007 $161 $501 1.1% Bush
2008 $459 $1,017 3.1% Bush
2009 $1,413 $1,885 9.8% Bush/Obama
2010 $1,294 $1,652 8.6% Obama
2011 $1,300 $1,229 8.3% Obama
2012 $1,077 $1,276 6.6% Obama
2013 $680 $672 4.0% Obama
2014 $485 $1,086 2.8% Obama
2015 $442 $327 2.4% Obama
2016 $585 $1,423 3.1% Obama
2017 $665 $671 3.4% Obama
2018 $779 $1,271 3.8% Trump
2019 $984 $1,203 4.6% Trump
2020 $3,132 $4,226 14.7% Trump
2021 $2,772 $1,484 11.8% Trump
2022 $1,376 $1,402 5.3% Biden
2023 $1,684 $2,238 6.2% Biden

Barack Obama elected to activate the 2nd tranche of TARP in 2009, that's why he gets credit for blowing out the budget that year. He followed that up with 3 more trillion dollar deficits, then tried to claim he was some sort of deficit hawk. Trump spent like a drunken sailor even before COVID, and then COVID came along. Biden was also horrible.